Shadowing, chain transitive sets with nonempty interior and attractor boundaries
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911366137249792 |
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| author | Kawaguchi, Noriaki |
| author_facet | Kawaguchi, Noriaki |
| contents | We examine certain phenomena in $C^1$-dynamics from a viewpoint of shadowing and improve a known result on hyperbolic sets. We also review a result on the stability of attractor boundaries from the same viewpoint and derive several additional results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06523 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Shadowing, chain transitive sets with nonempty interior and attractor boundaries Kawaguchi, Noriaki Dynamical Systems 37B35, 37B65, 37C20, 37D05 We examine certain phenomena in $C^1$-dynamics from a viewpoint of shadowing and improve a known result on hyperbolic sets. We also review a result on the stability of attractor boundaries from the same viewpoint and derive several additional results. |
| title | Shadowing, chain transitive sets with nonempty interior and attractor boundaries |
| topic | Dynamical Systems 37B35, 37B65, 37C20, 37D05 |
| url | https://arxiv.org/abs/2601.06523 |